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Finding the Fourth Proportional to 85,898.76, 118,536.27 and 47,657.90

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Solution

The fourth proportional to 85,898.76, 118,536.27 and 47,657.90 is: 65,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,898.76 : 118,536.27 = 47,657.90 : x
  2. Step 2: Convert to fraction form
    85,898.76/118,536.27 = 47,657.90/x
  3. Step 3: Cross multiply
    85,898.76x = 118,536.27 × 47,657.90
  4. Step 4: Simplify right side
    85,898.76x = 5,649,189,152.89
  5. Step 5: Solve for x
    x = 5,649,189,152.89/85,898.76
  6. Step 6: Final answer
    x = 65,765.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.